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where s is measured in meres and t is measured in seconds.

a) find the displacement during the first 6 seconds.

All i did was input 0 into the equation solve, then do the same with 6 and subtract the two. I got 0. Is this the right way to do that, os is that too "physics like"?

b)Find avg. velocity during first 6 seconds.

i basically did the same thing with (y2-y1)/(x2-x1) and got 0.

c) Find instantaneous velocity when t=4.

the derivative of the function is 2t-6 so:

s(4)=2(4)-6

=2

d) Find the acceleration of the particle when t=4

the derivative of 2t-6 is 2 so is it 2?

e) At what values does the particle change direction?

I got when t=3 but only by looking at the graph. How do you do this by calculus?

f) Where is the particle when s is a minimum?

again by using the graph